Research

Members

• Prof. W.K. Ching
  Mathematical modeling, applied computing, optimization
• Prof. G. Han
  Coding and information theory
• Prof. M. Ng
  Applied and Computational Mathematics, Artificial Intelligence and Machine Learning, Data and Imaging Sciences and Scientific Computing
• Prof. X. Yuan
  Scientific computing, management science
• Dr. G. Li
  Numerical analysis, scientific computing
• Dr. Z. Zhang
  Scientific computation, biomechanics
• Dr. K. Cai, Postdoctoral Fellow
  Coding theory, combinatorics
• Dr. Z. Wu, Postdoctoral Fellow
  Scientific computing, mainly in uncertainty quantification, model reduction, quantum mechanics
• Dr. Y. Xu, Postdoctoral Fellow
  Algebraic coding theory

Activities

Selected Publications

• Melkman A., Cheng X., Ching W.K., Akutsu T., Identifying a Probabilistic Boolean Threshold Network from Samples, IEEE Transactions on Neural Networks and Learning Systems, 29 (2018), p.869-881
• Cheng X., Tamura T., Ching W.K., Akutsu T., Discrimination of singleton and periodic attractors in Boolean, Automatica, 84 (2018), p.205-213
• Zhu D., Xie Y., Ching W.K., Siu T., Optimal portfolios with maximum Value-at-Risk constraint under a hidden Markovian regime-switching model, Automatica, 74 (2016), p.194-205
• Huang X., Gu J., Ching W.K., Siu T., Impact of secondary market on consumer return policies and supply chain coordination, Omega, 45 (2014), p.57-70
• Wentu Song, Kai Cai, Chau Yuen, Kui Cai, Guangyue Han, On sequential locally repairable codes, IEEE Transactions on Informaiton Theory, 64 (2018), p.3513-3527
• Yonglong Li, Aleksandar Kavčić, Guangyue Han, Capacity of multilevel NAND flash memory channels, IEEE Transactions on Informaiton Theory, 63 (2018), p.5934-5953
• Yonglong Li, Guangyue Han, Asymptotics of input-constrained erasure channel capacity, IEEE Transactions on Informaiton Theory, 64 (2018), p.148-162
• Guangyue Han, A randomized algorithm for the capacity of finite-state channels, IEEE Transactions on Informaiton Theory, 61 (2015), p.3651-3669
• Zhigang Jia, Michael K. Ng, Wei Wang, Color Image Restoration by Saturation-Value Total Variation, SIAM J. Imaging Sciences, 12 (2019), p.972-1000
• Xiongjun Zhang, Michael K. Ng, A Corrected Tensor Nuclear Norm Minimization Method for Noisy Low-Rank Tensor Completion, SIAM J. Imaging Sciences, 12 (2019), p.1231-1273
• Xue-lei Lin, Michael K. Ng, Hai-Wei Sun, Crank-Nicolson Alternative Direction Implicit Method for Space-Fractional Diffusion Equations with Nonseparable Coefficients, SIAM J. Numerical Analysis, 57 (2019), p.997-1019
• MiaoMiao Cheng, Liping Jing, Michael K. Ng, Tensor-Based Low-Dimensional Representation Learning for Multi-View Clustering, IEEE Trans. Image Processing, 28 (2019), p.2399-2414
• Y. Xu, H. B. Kan, G. Y. H, A Galois Connection Approach to Wei-Type Duality Theorems, IEEE Transactions on Information Theory, Early Access (2022)
• Y. Xu, H. B. Kan, G. Y. H, Fourier-Reflexive Partitions Induced By Poset Metric, IEEE Transactions on Information Theory, 68 (2022), p.2319-2330
• Y. Xu, The Subgroups of Finite Metacyclic Groups, Chinese Annals of Mathematics, Series B, 41 (2020), p.241-266
• Liu Y., Yuan X.M., Zeng S. and Zhang J., Partial error bound conditions for the linear convergence rate of the alternating direction method of multipliers, SIAM Journal on Numerical Analysis, 56 (2018), p.2095-2123
• He B.S., Tao M. and Yuan X.M., Convergence rate and iteration complexity on the alternating direction method of multipliers with a substitution procedure for separable convex programming, Mathematics of Operations Research, 42 (2017), p. 662-691
• Chen C., He B.S., Ye Y.Y. and Yuan X.M., The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent, Mathematical Programming, 155 (2016), p.57-79
• Corman E. and Yuan X.M., A generalized proximal point algorithm and its convergence rate, SIAM Journal on Optimization, 24 (2014), p.1614-1638
• S. Fu, G. Li, R. Craster, S. guenneau, Wavelets-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains, Multiscale Model. Simul., (2020)
• S. Fu, G. Li, E. Chung, Edge Multiscale Methods for elliptic problems with heterogeneous coefficients, J. Comput. Phys, 396 (2019), p.228-242
• G. Li, On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems without Oversampling Techniques, Multiscale Model. Simul., 17 (2019), p.593-619
• M. Griebel, G. Li, On the decay rate of the singular values of bivariate functions, SIAM J. Numer. Anal., 56 (2018), p.974-993
• Zhongjian Wang, Jack Xin, Zhiwen Zhang, Computing effective diffusivity of chaotic and stochastic flows using structure preserving schemes, SIAM Journal on Numerical Analysis, 2018, 56(4): 2322-2344
• Jingrun Chen, Dingjiong Ma, Zhiwen Zhang, A multiscale finite element method for the Schrodinger equation with multiscale potentials, SIAM Journal on Scientific Computing, 2019, 41(5): B1115-36
• Thomas Hou, Dingjiong Ma, Zhiwen Zhang, A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach, SIAM Journal on Multiscale Modeling and Simulation, 2019, 17(2):826-853
• Zhongjian Wang, Zhiwen Zhang, A mesh-free method for interface problems using the deep learning approach, Journal of Computational Physics, 2020, 400:108963

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Advanced Modeling and Applied Computing Laboratory (AMACL)